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VOL. 19 | 2018 Kauffman Bracket on Rational Tangles and Rational Knots

Abstract

Computing Kauffman bracket grows exponentially with the number of crossings in the knot diagram. In this paper we illustrate how Kauffman bracket for rational tangles and rational knots can be computed so that it involves a low number of terms. Kauffman bracket and Jones polynomial are known to have connections with statistical mechanics, quantum theory and quantum field theory.

Information

Published: 1 January 2018
First available in Project Euclid: 23 December 2017

MathSciNet: MR3586159

Digital Object Identifier: 10.7546/giq-19-2018-75-90

Rights: Copyright © 2018 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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